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arXiv · 1709.03037

Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials

Vanessa Botta
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Abstract

In this paper we present some classes of real self-reciprocal polynomials with at most two zeros outside the unit circle which are connected with a Chebyshev quasi-orthogonal polynomials of order one. We investigated the distribution, simplicity and monotonicity of their zeros around the unit circle and real line.

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Vanessa Botta. 2017-08-29. Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials. https://arxiv.org/abs/1709.03037

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